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3 years ago

The sum of 45% of a number and 55% of the same number is 200. what is the number?

Mathematics

1 answer:

Ymorist [56]3 years ago

8 0

.45x+.55x=200
Combine like terms
1x=200
So x is 100

Or you can do 45%+55%=100%
And 100% of 200 is 200

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Write a rule for the nth term of the arithmetic sequence 3, 11, 19, 27, 35... what is a20?

vladimir1956 [14]

3, 11, 19, 27, 35...

a = 3
d = 11-3 = 8
a20 = a + 19d = 3 + 19*8 = 3 + 132 = 135

HOPE IT HELPS!

5 0

3 years ago

What number should go in the space? Multiplying by 1.15 is the same as increasing by _____%.

klasskru [66]

Answer:

115%

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3 years ago

In 1 minute, Alex can type 44 words. While working on a project, Alex types from 10:00 AM until 1 AM, He takes a break from 1 0:

viktelen [127]

Answer:

39600 words

Step-by-step explanation:

Given data

In 1 minute, Alex can type 44 words

from 10:00 AM until 1 AM= 15 hours

15 hours to minutes= 15*60= 900 minutes

Hence in In 1 minute, Alex can type 44 words

in 900 minutes he will type x words

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x= 900*44

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4 0

3 years ago

Can someone help thank you

mestny [16]

Answer:

number 3 is a function, the other one is not a function.

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8 0

2 years ago

What two numbers can add to 4 but multiple to -12

olasank [31]

Answer:

Numbers: 6 and -2

Step-by-step explanation:

Equations

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

$x+y=4\qquad\qquad [1]$

$x.y=-12\qquad\qquad [2]$

Solving [1] for y:

$y=4-x$

Substituting in [2]

$x(4-x)=-12$

Operating:

$4x-x^2=-12$

Rearranging:

$x^2-4x-12=0$

Solving with the quadratic formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

With a=1, b=-4, c=-12:

$\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}$

$\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}$

$\displaystyle x=\frac{4\pm 8}{2}$

The solutions are:

$\displaystyle x=\frac{4+ 8}{2}=6$

$\displaystyle x=\frac{4- 8}{2}=-2$

This confirms the preliminary results.

Numbers: 6 and -2

7 0

3 years ago